Estimated confidence procedures for multivariate normal means
Publication
, Journal Article
Lu, KL; Berger, JO
Published in: Journal of Statistical Planning and Inference
January 1, 1989
In estimation of a p-variate normal mean with identify covariance matrix, confidence sets recentered at Stein-type estimators have larger coverage probability then the usual confidence ellipsoids (see Hwang and Casella (1982)). However, the minimum coverage probability (say 1 - α) of these improved sets is identical to that of the usual sets, so that only 1 - α can be actually reported. Data dependent estimated confidence coefficients, 1 - Ĝa(X), can be found which (I) have frequentist validity, (II) are always larger than 1 - α, and (III) dominate the report of 1 - α via quadratic scoring. © 1989.
Duke Scholars
Published In
Journal of Statistical Planning and Inference
DOI
ISSN
0378-3758
Publication Date
January 1, 1989
Volume
23
Issue
1
Start / End Page
1 / 19
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 0104 Statistics
Citation
APA
Chicago
ICMJE
MLA
NLM
Lu, K. L., & Berger, J. O. (1989). Estimated confidence procedures for multivariate normal means. Journal of Statistical Planning and Inference, 23(1), 1–19. https://doi.org/10.1016/0378-3758(89)90035-9
Lu, K. L., and J. O. Berger. “Estimated confidence procedures for multivariate normal means.” Journal of Statistical Planning and Inference 23, no. 1 (January 1, 1989): 1–19. https://doi.org/10.1016/0378-3758(89)90035-9.
Lu KL, Berger JO. Estimated confidence procedures for multivariate normal means. Journal of Statistical Planning and Inference. 1989 Jan 1;23(1):1–19.
Lu, K. L., and J. O. Berger. “Estimated confidence procedures for multivariate normal means.” Journal of Statistical Planning and Inference, vol. 23, no. 1, Jan. 1989, pp. 1–19. Scopus, doi:10.1016/0378-3758(89)90035-9.
Lu KL, Berger JO. Estimated confidence procedures for multivariate normal means. Journal of Statistical Planning and Inference. 1989 Jan 1;23(1):1–19.
Published In
Journal of Statistical Planning and Inference
DOI
ISSN
0378-3758
Publication Date
January 1, 1989
Volume
23
Issue
1
Start / End Page
1 / 19
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 0104 Statistics